Question

5. In a rectangle, one diagonal is inclined to one of its sides at 25°. Measure the acute angle between the two diagonals.​

Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

Let ABCD be a rectangle where AC and BD are the two diagonals which are intersecting at point O.

Now, assume ∠BDC = 25° (Given)

Now, ∠BDA = 90° - 25° = 65°

Also, ∠DAC = ∠BDA, (as diagonals of a rectangle divide the rectangle into two congruent right triangles)

So, ∠BOA = the acute angle between the two diagonals = 180° - 65° - 65° = 50°

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Answer 2

Answer:

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